Best Known (83−70, 83, s)-Nets in Base 27
(83−70, 83, 96)-Net over F27 — Constructive and digital
Digital (13, 83, 96)-net over F27, using
- t-expansion [i] based on digital (11, 83, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
(83−70, 83, 136)-Net over F27 — Digital
Digital (13, 83, 136)-net over F27, using
- net from sequence [i] based on digital (13, 135)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 13 and N(F) ≥ 136, using
(83−70, 83, 1308)-Net in Base 27 — Upper bound on s
There is no (13, 83, 1309)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 65108 563801 122142 546023 931618 167279 486944 214071 070831 815267 715591 108498 108735 921688 604048 705803 458199 142329 131136 882227 > 2783 [i]